5383987200 has 504 divisors, whose sum is σ = 20282416128. Its totient is φ = 1362493440.

The previous prime is 5383987171. The next prime is 5383987211. The reversal of 5383987200 is 27893835.

5383987200 is a `hidden beast` number, since 53 + 8 + 398 + 7 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42393537 + ... + 42393663.

Almost surely, 2^5383987200 is an apocalyptic number.

5383987200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5383987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141208064).

5383987200 is an abundant number, since it is smaller than the sum of its proper divisors (14898428928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5383987200 is a wasteful number, since it uses less digits than its factorization.

5383987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5383987200 is about 73375.6580890420. The cubic root of 5383987200 is about 1752.6747885465.

The spelling of 5383987200 in words is "five billion, three hundred eighty-three million, nine hundred eighty-seven thousand, two hundred".